Atkin-Lehner |
2- 3- 5- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
10230bh |
Isogeny class |
Conductor |
10230 |
Conductor |
∏ cp |
125 |
Product of Tamagawa factors cp |
deg |
8000 |
Modular degree for the optimal curve |
Δ |
-8286300000 = -1 · 25 · 35 · 55 · 11 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 11- -1 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-385,5225] |
[a1,a2,a3,a4,a6] |
j |
-6312136778641/8286300000 |
j-invariant |
L |
5.9082709336558 |
L(r)(E,1)/r! |
Ω |
1.1816541867312 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
81840cb1 30690g1 51150l1 112530bj1 |
Quadratic twists by: -4 -3 5 -11 |